Research on Sleep Quality Based on Generalized Partially Function Linear Model with Unknown Link Function

This paper investigates the content related to sleep quality. A generalized partially functional linear model in which the response variable is scalar and the predictor variable is both functional and scalar is constructed by using the sleep quality of 22 volunteers as the response variable, the hourly heart rate as a functional predictor variable, and Wake After Sleep Onset, the Number of Awakenings during the night, and Daily stress Inventory value as scalar predictor variables, where the model exact link function was not specified. Finally, it was concluded that HR was positively correlated with sleep quality from 9 am to about 15 pm and negatively correlated at other times, and that the WASO, Number, and DSI were inversely correlated with sleep quality, which was also largely in line with our expectations.